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Biometrika 1972 59(2):435-441; doi:10.1093/biomet/59.2.435
© 1972 by Biometrika Trust
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A negative binomial model with varying element sizes

A. F. BISSELL

ICI Fibres Pontypool

Compound Poisson distributions are generally associated with counts of discrete events on sample elements of uniform size. The case of variable element sizes, applicable to many compound distributions, is considered here for the particular case of the negative binomial model. Maximum likelihood and weighted least squares estimators for its parameters are presented, with examples.

Key Words: Negative binomial model • Varying sample element sizes • Maximum likelihood estimation • Least squares estimation • Compound Poisson distributions


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